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Finding the Fourth Proportional to 38,592.48, 53,251.92 and 21,825.12

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Solution

The fourth proportional to 38,592.48, 53,251.92 and 21,825.12 is: 30,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592.48 : 53,251.92 = 21,825.12 : x
  2. Step 2: Convert to fraction form
    38,592.48/53,251.92 = 21,825.12/x
  3. Step 3: Cross multiply
    38,592.48x = 53,251.92 × 21,825.12
  4. Step 4: Simplify right side
    38,592.48x = 1,162,229,544.23
  5. Step 5: Solve for x
    x = 1,162,229,544.23/38,592.48
  6. Step 6: Final answer
    x = 30,115.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.